//content.invisioncic.com/y282845/emoticons/laugh.gif.48439b2acf2cfca21620f01e7f77d1e4.gif You're an ME? You should be teaching me, the EE, about this stuff man. What's going on? //content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gifNo need to clean up. I was able to follow all of it. I'm working on my PhD in mechanical engineering, specializing in controls... so I may not have enough practical experience, but I can understand "no imaginary parts" just fine. //content.invisioncic.com/y282845/emoticons/wink.gif.608e3ea05f1a9f98611af0861652f8fb.gif
Side Note: It took me 2 classes and a summer of leisure studying, to finally learn bode plots... and how I got it? By realizing that FRF = "speaker frequency response plots." //content.invisioncic.com/y282845/emoticons/veryhappy.gif.fec4fed33b4a1279cf10bdd45a039dae.gif
I did have a question. When you said "the larger the box, the lower the resonant frequency of the box"... I didn't quite follow you there. Are you referring to box volume's resonance, port's resonance, or the resonance of the combined system (sub-->box volume-->port)?
Stating things, so I can rationalize/internalize:
Box resonance - Since there is more air in the box, the compliance goes up... Thus, the natural frequency drops. This is why manufacturers suggest certain box sizes (0.8, 1.2, etc). They attempt to get the total Q of the sub/box near 0.707 which is "optimally controlling" the woofer.
Side note 1: Does the damping change with box size?
Side note 2: Has anyone designed a box that resonates due to internal volume AND standing waves (caused by the physical lengths)? I wonder if you'd get a significant contribution...//content.invisioncic.com/y282845/emoticons/confused.gif.e820e0216602db4765798ac39d28caa9.gif
Port resonance - The port adds a complicating factor, because it allows flow between the air excited by the front and back waves. At resonance, it allows a significantly more airflow.
Guess: When you are above resonance frequency, the port adds damping to the system. This is why at higher frequencies, ported boxes don't have much cone movement. Conversely, lower than resonance frequencies will decrease the damping of the system and cause the woofer to overshoot and "get floppy."
----- I'll start from here when I get more time. But I think (with help) we're getting to the bottom of ported box theory. Thanks again, for good explanations.
Anyway, that was a misspeak, you're right. Yes, I meant the larger the box, the lower the SYSTEM'S resonant frequency. Obviously the larger the box, the lower the box's resonant frequency, but that isn't exactly important nor startling information. //content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gif
On your Q discussion, I need to know what you mean when you say compliance: compliance of what? I know very little ME stuff beyond what I know about speakers, and even that is limited, but there are many different compliance values for loudspeakers: Vas, Cms, etc...
Seeing as you're talking about .707, what does a sqrt(2) value of stiffness mean in ME? I haven't the faintest idea, however I do know quite well that 1/sqrt(2) is a very important factor in almost all engineering fields, and since compliance is just 1/stiffness, I'm wondering what that signifies //content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gif
Again, what damping are you talking about? Ported boxes naturally damp the cone at the tuning frequency, so I'm not too sure what damping you're talking about: cone, box, or some otherwise electrical damping that I might have missed in the conversation (sigma).
Yes, people have tried and failed since it's impossible to obviously reach theoretical numbers in practical applications. The problem is that it isn't feasible to take into account every single factor that can affect how a speaker responds, so instead, people merely tailor their sound to their tastes but use theory to make the initial design.
Your guess is mostly correct as well. Outside of the sub's passband, you're right, there is little cone movement, however, as you decrease in frequency, the cone movement gets greater until a certain point. At tuning frequency, the cone's movement is actually less than at other frequencies. But you are correct that under tuning frequency, the air in the enclosure can no longer control cone movement effectively and thus your sub can bottom out (which is why it's pretty stupid to test subs just sitting on your carpet if they are not designed to play free-air.
A FANTASTIC treatise on box design is Bullock on Boxes, it's a small book all about ported box design and theory. i just started reading it and am like 5 pages in, and already have learned more from those 5 pages than I have in literally years here listening to second hand accounts and tricks of the trade.
